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Submitted on
November 26, 2005
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6.9 KB


17,780 (2 today)
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Someone requested a hypercube which could be manually rotated so I threw this together. Drag any of the sliders to rotate the hypercube around each of the six planes of rotation. You may notice that some rotations seem to have no effect when seem in orthographic or 3D perspective because the rotation is happening in directions which are not represented in those views when seen from some angles.

A hypercube (or tesseract) is the 4-dimensional analogue of a cube. It has 16 corners, 36 edges, and 24 sides. All corners are right angles although they may seem like acute or obtuse angles when seem from a different viewpoint, just as the corners of a cube may seem sharper or wider depending on your viewpoint.

Rotation is achieved through a simple 4x4 transformation matrix which allows the hypercube to be rotated along a single plane at a time. In 3-dimensional rotation, rotation usually occurs around a linear axis but 4-dimensional rotation occurs around a planar axis.

You can check/uncheck the box to see the hypercube with solid sides or empty sides. Click on "Perspective" to select different methods of display.
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jambawolfflipnote Dec 6, 2013  Student General Artist
Guess who's confused!
HOLYSH'OOT IM FAVE THIS, I was looking for something like this! *gaps*
Galabranth Dec 10, 2012  Hobbyist Digital Artist
Never would I imagine that someone would take the tme to conjure this up. Thumbs up!
Galabranth Dec 10, 2012  Hobbyist Digital Artist
Never would I imagine someone would take the time to make this. Thumbs up!
Plutonia-V41 Dec 4, 2012  Hobbyist Digital Artist
Damnit. I'm trying to rotate it into the angle that the projection in my avatar shows, but it doesn't seem to be possible with a perspective projection. Obviously my projection is orthographic. I got it really close but then the meanings of different rotation planes in 4D confuse me and I can't continue without messing it up.
Mark-y-pin Jul 1, 2012  Student Traditional Artist
uh fun !!
This is really clever. Strange to think that you're the same person who makes sissy drawings and also hypercubes. Hehe. Who'd have thought that they were in the same galery.
toavakama1 Feb 11, 2012  Hobbyist Writer
The rotation of the ana and kata directions. Freaking awesome. I just wish I could see this in three dimensions.
DarkLutra Dec 23, 2011  Hobbyist General Artist
It's... amazing!
Such a simple concept... a cube inside a cube... but what the hell is the W dimension!?
1st Dimension: Length
2nd Dimension: Width
3rd Dimension: Hight
4th Dimension: ?
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